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FIX: The Fear Index—Measuring Market Fear

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Topics in Numerical Methods for Finance

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 19))

Abstract

In this paper, we propose a new fear index based on (equity) option surfaces of an index and its components. The quantification of the fear level will be solely based on option price data. The index takes into account market risk via the VIX volatility barometer, liquidity risk via the concept of implied liquidity, and systemic risk and herd behavior via the concept of comonotonicity. It thus allows us to measure an overall level of fear (excluding credit risk) in the market as well as to identify precisely the individual importance of the distinct risk components (market, liquidity, or systemic risk). As a an additional result, we also derive an upperbound for the VIX.

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References

  1. Albrecher, H., Dhaene, J., Goovaerts, M., Schoutens, W.: Static hedging of Asian options under Lévy models: the comonotonicity approach. J. Derivatives 12(3), 63–72 (2005)

    Article  Google Scholar 

  2. Albrecher, H., Guillaume, F., Schoutens, W.: Implied liquidity: model dependency investigation. Internal report (2011)

    Google Scholar 

  3. Black, F., Scholes, M.: The pricing of options and corporate liabilities. J. Polit. Econ. 81(3), 637–654 (1973)

    Article  Google Scholar 

  4. Britten-Jones, M., Neuberger, A.: Option prices, implied price processes and stochastic volatility. J Finance 55, 839–866 (2000)

    Article  Google Scholar 

  5. Carr, P., Madan, D.: Towards a theory of volatility trading. In: Jarrow, R. (ed.) Volatility, risk publications, pp. 417—427 (1998)

    Google Scholar 

  6. Carr, P., Wu, L.: A tale of two indices. J. Derivatives 13(3), 13–29 (2006)

    Article  Google Scholar 

  7. Chen, X., Deelstra, G., Dhaene, J., Vanmaele, M.: Static super-replicating strategies for a class of exotic options. Insur. Math. Econ. 42(3), 1067–1085 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  8. Cherny, A., Madan, D.B.: New measures of performance evaluation. Rev. Financ. Stud. 22, 2571–2606 (2009)

    Article  Google Scholar 

  9. Cherny, A., Madan, D.B.: Markets as a counterparty: an introduction to conic finance. Int. J. Theor. Appl. Finance 13(8), 1149–1177 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  10. Chicago Board Options Exchange, Inc.: The CBOE volatility index – VIX. White paper (2009)

    Google Scholar 

  11. Corcuera, J.M., Guillaume, F., Madan, D.B., Schoutens, W.: Implied liquidity—towards liquidity modeling and liquidity trading. International Journal of Portfolio Analysis and Management (2012), to appear

    Google Scholar 

  12. Deelstra, G., Dhaene, J., Vanmaele, M.: An overview of comonotonicity and its applications in finance and insurance. In: Oksendal, B., Nunno, G. (eds.) Advanced Mathematical Methods for Finance, Springer, Germany (Heidelberg) (2010)

    Google Scholar 

  13. Demeterfi, K., Derman, E., Kamal, M., Zhou, J.: More than you ever wanted to know about volatility swaps, Goldman Sachs quantitative strategies research notes (1999)

    Google Scholar 

  14. Dhaene, J., Denuit, M., Goovaerts, M.J., Kaas, R., Vyncke D.: The concept of comonotonicity in actuarial science and finance: theory. Insur. Math. Econ. Issue 1 (31):3–33 (2002)

    Google Scholar 

  15. Dhaene, J., Denuit, M., Goovaerts, M.J., Kaas, R., Vyncke, D.: The concept of comonotonicity in Actuarial science and finance: applications, Insur. Math. Econ. 133–161 (2002)

    Google Scholar 

  16. Dhaene, J., Linders, D., Schoutens, W., Vyncke, V.: Insurance: Mathematics and economics, 50(3), 357–370 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  17. Hobson, D., Laurence, P., Wang, T.H.: Static-arbitrage upper bounds for the prices of basket options. Quant. Finance 5(4), 329–342 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  18. Jiang, G.J., Tian, Y.S.: Model-free implied volatility and its information content. Rev. Financ. Stud. 18(4), 1305–1342 (2005)

    Article  Google Scholar 

  19. Laurence, P.: Hedging and pricing of generalized spread options and the market implied comonotonicity gap, Presented at the Workshop and Mid-Term Conference on Advanced Mathematical Methods for Finance, Vienna University (2007)

    Google Scholar 

  20. Linders, D., Dhaene, J., Schoutens, W.: Some results on comonotonicity based upper bounds for index options. Working paper (2011)

    Google Scholar 

  21. Madan, D.B., Schoutens, W.: Conic financial markets and corporate finance. Int J Theor Appl Finance, 14(5), 587–610

    Google Scholar 

  22. Neuberger, A.: Volatility trading, London Business School working paper (1990)

    Google Scholar 

  23. Simon, S., Goovaerts, M., Dhaene, J.: An easy computable upper bound for the price of an arithmetic Asian option. Insur. Math. Econ. 26(2), 175–183 (2001)

    Article  MathSciNet  Google Scholar 

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Correspondence to J. Dhaene .

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Dhaene, J., Dony, J., Forys, M.B., Linders, D., Schoutens, W. (2012). FIX: The Fear Index—Measuring Market Fear. In: Cummins, M., Murphy, F., Miller, J. (eds) Topics in Numerical Methods for Finance. Springer Proceedings in Mathematics & Statistics, vol 19. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-3433-7_4

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